Bud, Not Buddy has several conflicts. Bud struggles internally with the loss of his mother and his resulting life in and out of foster homes and orphanages. One early conflict that we see Bud have to navigate is his man vs. man conflict between himself and Todd Amos. Todd is a flat out bully that tries to see how far he can shove a pencil up Bud's nose while Bud is sleeping. Bud defends himself, and he is tossed in a shed for his efforts. Bud manages to escape and exact some sweet revenge against Todd. That conflict is set up and resolved within the first few chapters of the book. If this question is asking about the book's main conflict, then I think that conflict has to be Bud's search for his father. His journey to Grand Rapids is met with multiple smaller conflicts, and technically speaking, the conflict isn't resolved. Bud doesn't find his father. It turns out that Calloway is Bud's grandfather. Bud may not have found his father; however, Bud's loneliness is resolved because he has been united with a grandfather and group of people that are his new loving family.